Atkin-Lehner |
2- 3+ 5+ 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
81840bj |
Isogeny class |
Conductor |
81840 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
-1140784128000 = -1 · 213 · 33 · 53 · 113 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 11+ -1 -3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-48456,-4089744] |
[a1,a2,a3,a4,a6] |
j |
-3071958955278409/278511750 |
j-invariant |
L |
0.32178038783955 |
L(r)(E,1)/r! |
Ω |
0.16089018818122 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10230o1 |
Quadratic twists by: -4 |